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has been cited by the following article:

• TITLE: 3D Radiative Transfer Equation Coupled with Heat Conduction Equation with Realistic Boundary Conditions Applied on Complex Geometries

  AUTHORS: D. Le Hardy, Y. Favennec, G. Domingues, B. Rousseau

  KEYWORDS: Radiative Transfer Equation, Heat Conduction Equation, Finite Element Methods, SUPG, DOM, Specular Reflection, Complex Geometry

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.4 No.8, August 15, 2016

  ABSTRACT: This paper presents the solution of coupled radiative transfer equation with heat conduction equation in complex three-dimensional geometries. Due to very different time scales for both physics, the radiative problem is considered steady-state but solved at each time iteration of the transient conduction problem. The discrete ordinate method along with the decentered streamline-upwind Petrov-Galerkin method is developed. Since specular reflection is considered on borders, a very accurate algorithm has been developed for calculation of partition ratio coefficients of incident solid angles to the several reflected solid angles. The developed algorithms are tested on a paraboloid-shaped geometry used for example on concentrated solar power technologies.